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arXiv · 2308.02337

A formula for the base size of the symmetric group in its action on subsets

Giovanni Mecenero·Pablo Spiga
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Abstract

Given two positive integers $n$ and $k$, we obtain a formula for the base size of the symmetric group of degree $n$ in its action on $k$-subsets. Then, we use this formula to compute explicitly the base size for each $n$ and for each $k\le 14$.

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Giovanni Mecenero, Pablo Spiga. 2023-08-09. A formula for the base size of the symmetric group in its action on subsets. https://arxiv.org/abs/2308.02337

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